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Finding the Fourth Proportional to 300,142.70, 450,214.78 and 122,649.70

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Solution

The fourth proportional to 300,142.70, 450,214.78 and 122,649.70 is: 183,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,142.70 : 450,214.78 = 122,649.70 : x
  2. Step 2: Convert to fraction form
    300,142.70/450,214.78 = 122,649.70/x
  3. Step 3: Cross multiply
    300,142.70x = 450,214.78 × 122,649.70
  4. Step 4: Simplify right side
    300,142.70x = 55,218,707,702.57
  5. Step 5: Solve for x
    x = 55,218,707,702.57/300,142.70
  6. Step 6: Final answer
    x = 183,974.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.